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47258540 = 22573832
BaseRepresentation
bin1011010001000…
…1101110101100
310021220222112022
42310101232230
544044233130
64404525312
71112456000
oct264215654
9107828468
1047258540
112474904a
12139b0838
139a38644
1463c2700
1542377e5
hex2d11bac

47258540 has 72 divisors (see below), whose sum is σ = 117146400. Its totient is φ = 16007712.

The previous prime is 47258503. The next prime is 47258543. The reversal of 47258540 is 4585274.

47258540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 47258540.

It is not an unprimeable number, because it can be changed into a prime (47258543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569339 + ... + 569421.

Almost surely, 247258540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47258540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58573200).

47258540 is an abundant number, since it is smaller than the sum of its proper divisors (69887860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47258540 is an equidigital number, since it uses as much as digits as its factorization.

47258540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 47258540 is about 6874.4847079618. The cubic root of 47258540 is about 361.5431188591.

Multiplying 47258540 by its sum of digits (35), we get a square (1654048900 = 406702).

47258540 divided by its sum of digits (35) gives a square (1350244 = 11622).

The spelling of 47258540 in words is "forty-seven million, two hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 166 196 245 332 343 415 490 581 686 830 980 1162 1372 1660 1715 2324 2905 3430 4067 5810 6860 6889 8134 11620 13778 16268 20335 27556 28469 34445 40670 48223 56938 68890 81340 96446 113876 137780 142345 192892 241115 284690 337561 482230 569380 675122 964460 1350244 1687805 2362927 3375610 4725854 6751220 9451708 11814635 23629270 47258540